Yes, as stated, 45 acp is large pistol primers, accept the mentioned anomaly's. Also be weary of 45 gap, they have small pistol primers also and look very similar to 45 acp.
No, the 357 mag takes small pistol primers.
Just a suggestion, do yourself a favor and pick up at least a couple of reloading manuals. Every manual states which cartridge uses which primer size.
I'd start with the lyman 49th.
Bill.